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Finding the Fourth Proportional to 8,167.61, 12,235.98 and 4,825.89

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Solution

The fourth proportional to 8,167.61, 12,235.98 and 4,825.89 is: 7,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.61 : 12,235.98 = 4,825.89 : x
  2. Step 2: Convert to fraction form
    8,167.61/12,235.98 = 4,825.89/x
  3. Step 3: Cross multiply
    8,167.61x = 12,235.98 × 4,825.89
  4. Step 4: Simplify right side
    8,167.61x = 59,049,493.52
  5. Step 5: Solve for x
    x = 59,049,493.52/8,167.61
  6. Step 6: Final answer
    x = 7,229.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.